The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  3 2X X+6  X 2X+6 2X  3 X+6 2X+6  0 X+6  6  6  X 2X+6  0 2X  X X+6  6  3 X+3 2X+3 X+3 2X+3 2X+6 2X+3  3  6 X+3 2X X+3 2X+3 2X+3 2X  0 X+3 2X X+6 2X+6  6  3 2X+3  0 2X  X  0 X+6 X+3  3 X+3 X+6  3 X+3 2X+3  6 X+6  6 2X 2X+3
 0  0  X 2X+6  3 2X+6  X X+6 2X+3  3 X+6 2X  3 2X 2X+3  0  6  6 X+3 X+3 X+3 X+3 X+6 X+6 2X+3  6  6 2X X+3 X+6 2X 2X+6 2X+6  0  3 2X+3  X  X 2X  X 2X+6  0  3 X+3  X  0 2X+6 2X 2X+6  6  X  0  6 2X  6  0 X+3 2X+6 2X 2X+3  X  6 X+3

generates a code of length 63 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+270x^123+1752x^126+54x^129+108x^132+2x^189

The gray image is a code over GF(3) with n=567, k=7 and d=369.
This code was found by Heurico 1.16 in 37 seconds.